Four-dimentional Gradient Shrinking Solitons with Positive Isotropic Curvature

Published 16 Mar 2016 in math.DG | (1603.05264v1)

Abstract: We show that a four-dimensional complete gradient shrinking Ricci soliton with positive isotropic curvature is either a quotient of S⁴ or a quotient of S³ cross R. This gives a clean classification result removing the earlier additional assumptions in [13] by Wallach and the second author.

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